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Popular >

simplify sqrt((1-v^2)^3)

Solution

simplify

(1 - v^{2})^{3}

Solution

(- v^{2} + 1)^{\frac{3}{2}}

Solution steps

(1 - v^{2})^{3}

Apply radical rule:

a = a^{\frac{1}{2}}

= ((1 - v^{2})^{3})^{\frac{1}{2}}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

= (1 - v^{2})^{3 \cdot \frac{1}{2}}

3 \cdot \frac{1}{2} = \frac{3}{2}

= (1 - v^{2})^{\frac{3}{2}}

= (- v^{2} + 1)^{\frac{3}{2}}

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Frequently Asked Questions (FAQ)

What is sqrt((1-v^2)^3) ?
The solution to sqrt((1-v^2)^3) is (-v^2+1)^{3/2}